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242465355 = 32511716899
BaseRepresentation
bin11100111001110…
…11101001001011
3121220020111221100
432130323221023
5444032342410
640020512443
76002631036
oct1634735113
9556214840
10242465355
111149578a0
126924b723
133b305032
14242b801d
15164468c0
hexe73ba4b

242465355 has 48 divisors (see below), whose sum is σ = 465004800. Its totient is φ = 115886400.

The previous prime is 242465351. The next prime is 242465359. The reversal of 242465355 is 553564242.

242465355 is a `hidden beast` number, since 242 + 4 + 65 + 355 = 666.

It is an interprime number because it is at equal distance from previous prime (242465351) and next prime (242465359).

It is not a de Polignac number, because 242465355 - 22 = 242465351 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242465351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31696 + ... + 38594.

It is an arithmetic number, because the mean of its divisors is an integer number (9687600).

Almost surely, 2242465355 is an apocalyptic number.

242465355 is a deficient number, since it is larger than the sum of its proper divisors (222539445).

242465355 is a wasteful number, since it uses less digits than its factorization.

242465355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6992 (or 6989 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 242465355 is about 15571.2990787538. The cubic root of 242465355 is about 623.5671539002.

The spelling of 242465355 in words is "two hundred forty-two million, four hundred sixty-five thousand, three hundred fifty-five".

Divisors: 1 3 5 9 11 15 33 45 55 71 99 165 213 355 495 639 781 1065 2343 3195 3905 6899 7029 11715 20697 34495 35145 62091 75889 103485 227667 310455 379445 489829 683001 1138335 1469487 2449145 3415005 4408461 5388119 7347435 16164357 22042305 26940595 48493071 80821785 242465355